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Finding the Fourth Proportional to 1,710.54, 2,360.51 and 964.47

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Solution

The fourth proportional to 1,710.54, 2,360.51 and 964.47 is: 1,330.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.54 : 2,360.51 = 964.47 : x
  2. Step 2: Convert to fraction form
    1,710.54/2,360.51 = 964.47/x
  3. Step 3: Cross multiply
    1,710.54x = 2,360.51 × 964.47
  4. Step 4: Simplify right side
    1,710.54x = 2,276,636.26
  5. Step 5: Solve for x
    x = 2,276,636.26/1,710.54
  6. Step 6: Final answer
    x = 1,330.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.